Question

The sector angle for Malasia is ${150}^{\circ }$. The sector angle for Singapore is twice the sector angle for Hong Kong.Calculate the number of holidays in Hong Kong.

Answer 1

$\int \frac{dx}{\sqrt{x}(x+9)}\Rightarrow \sqrt{x}=U$

$\frac{1}{2\sqrt{x}}dx=dv\Rightarrow 2vdv=dx$

$\int \frac{dx}{U(U^2+9)}-\frac{2}{3}{\tan }^{-1}\left(\frac{U}{3}\right)=\frac{2}{3}{\tan }^{-1}\left(\frac{\sqrt{x}}{3}\right)$

The sector angle for Malasia $={150}^o$

"Singapeare $=2$ Hang Kong

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